12(x-3)=2(x+4)

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Solution for 12(x-3)=2(x+4) equation:


Simplifying
12(x + -3) = 2(x + 4)

Reorder the terms:
12(-3 + x) = 2(x + 4)
(-3 * 12 + x * 12) = 2(x + 4)
(-36 + 12x) = 2(x + 4)

Reorder the terms:
-36 + 12x = 2(4 + x)
-36 + 12x = (4 * 2 + x * 2)
-36 + 12x = (8 + 2x)

Solving
-36 + 12x = 8 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-36 + 12x + -2x = 8 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-36 + 10x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-36 + 10x = 8 + 0
-36 + 10x = 8

Add '36' to each side of the equation.
-36 + 36 + 10x = 8 + 36

Combine like terms: -36 + 36 = 0
0 + 10x = 8 + 36
10x = 8 + 36

Combine like terms: 8 + 36 = 44
10x = 44

Divide each side by '10'.
x = 4.4

Simplifying
x = 4.4

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